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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 1, Pages 122–131
DOI: https://doi.org/10.31857/S0044466919100089 (Mi zvmmf11023) 		 
Completely conservative difference schemes for fluid dynamics in a piezoconductive medium with gas hydrate inclusions

V. A. Gasilovab, Yu. A. Poveschenkoba, V. O. Podrygaac, P. I. Rahimlia

a Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
b National Research Nuclear University "MEPhI", Moscow, 115409 Russia
c Moscow Automobile and Road Construction State Technical University (MADI), Moscow 125319 Russia
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DOI: https://doi.org/10.31857/S0044466919100089
Abstract: The dynamics equations for a two-component fluid in a porous medium with gas hydrate inclusions are approximated on a structurally irregular difference grid. The case of a thermodynamically equilibrium model is considered. The support operator method is used to construct a family of completely conservative two-level difference schemes. The time approximation is based on expressions “weighted” according to grid time levels with weighting factors that generally vary in space. For a difference fluid dynamics problem, an algorithm based on splitting into physical processes is proposed.
Key words: support operator method, finite difference schemes, conservativeness, mathematical modeling, gas hydrates.
Funding agency Grant number
Russian Science Foundation 16-11-00100
This work was supported by the Russian Science Foundation, project no. 16-11-00100.
Received: 21.03.2019
Revised: 21.03.2019
Accepted: 18.09.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 1, Pages 134–143
DOI: https://doi.org/10.1134/S0965542519100087
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: V. A. Gasilov, Yu. A. Poveschenko, V. O. Podryga, P. I. Rahimli, “Completely conservative difference schemes for fluid dynamics in a piezoconductive medium with gas hydrate inclusions”, Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020), 122–131; Comput. Math. Math. Phys., 60:1 (2020), 134–143
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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